scholarly journals Some Notes on the Proof of Entropy Increase in the Thermalization of Two Blocks

2021 ◽  
Vol 9 (1) ◽  
pp. 10
Author(s):  
Li Pinjun
Keyword(s):  
Entropy Increase

scholarly journals Mixing indistinguishable systems leads to a quantum Gibbs paradox

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Benjamin Yadin ◽  
Benjamin Morris ◽  
Gerardo Adesso
Keyword(s):  
Statistical Mechanics ◽  
Thought Experiment ◽  
Entropy Change ◽  
Ideal Gas ◽  
Gibbs Paradox ◽  
Quantum Case ◽  
Entropy Increase ◽  
Level Of Knowledge ◽  
Different Gases ◽  
As If

AbstractThe classical Gibbs paradox concerns the entropy change upon mixing two gases. Whether an observer assigns an entropy increase to the process depends on their ability to distinguish the gases. A resolution is that an “ignorant” observer, who cannot distinguish the gases, has no way of extracting work by mixing them. Moving the thought experiment into the quantum realm, we reveal new and surprising behaviour: the ignorant observer can extract work from mixing different gases, even if the gases cannot be directly distinguished. Moreover, in the macroscopic limit, the quantum case diverges from the classical ideal gas: as much work can be extracted as if the gases were fully distinguishable. We show that the ignorant observer assigns more microstates to the system than found by naive counting in semiclassical statistical mechanics. This demonstrates the importance of accounting for the level of knowledge of an observer, and its implications for genuinely quantum modifications to thermodynamics.

scholarly journals The rate of entropy increase at the edge of chaos

2000 ◽  
Vol 273 (1-2) ◽  
pp. 97-103 ◽  
Author(s):  
Vito Latora ◽  
Michel Baranger ◽  
Andrea Rapisarda ◽  
Constantino Tsallis
Keyword(s):  
Entropy Increase ◽  
Edge Of Chaos

Engines and Refrigerators

2021 ◽  
pp. 122-148
Author(s):  
Daniel V. Schroeder
Keyword(s):  
Energy Conservation ◽  
Heat Engine ◽  
Absolute Zero ◽  
Temperature Range ◽  
Entropy Increase

The laws of energy conservation and entropy increase put limits on the efficiency of any heat engine and any refrigeration device working over a given temperature range. The limits are independent of the details of how these machines operate, so this chapter first explains them by considering only energy and entropy flows. The detailed mechanisms are still interesting, however, so the chapter ends with descriptions of a variety of engine and refrigeration mechanisms, including methods of reaching temperatures near absolute zero.

scholarly journals Influence of Linear Alkyl Benzene Sulphonate on Corrosion of Iron in Presence of Magnetic Field: Kinetic and Thermodynamic Parameters

2010 ◽  
Vol 2010 ◽  
pp. 1-9 ◽  
Author(s):  
A. K. Maayta ◽  
Mohammad M. Fares ◽  
Ali F. Al-Shawabkeh
Keyword(s):  
Magnetic Field ◽  
Activation Energy ◽  
Free Energy ◽  
Equilibrium Constant ◽  
Acidic Media ◽  
Alkyl Benzene ◽  
Energy Value ◽  
Linear Alkyl Benzene ◽  
Entropy Increase ◽  
Linear Alkyl Benzene Sulphonate

Implementation of linear alkyl benzene sulphonate, LAS, as corrosion inhibitor on the surface of iron metal in acidic media and in the absence and presence of magnetic field has been investigated. Adsorption of inhibitor molecules on iron surface showed Langmuir adsorption isotherms fit in acidic media. In the absence of magnetic field, apparent activation energy values (Ea) in 2.0 M HCl solutions provide evidence of the inhibitory effect of LAS on iron; similarly, the enthalpy of activation values (ΔH≠) was in accordance with activation energy values. Apparent entropy of activation shows that at larger inhibitor concentration, solvent entropy decrease in 1.0 M HCl and solvent entropy increase in 2.0 M HCl were obtained. Furthermore, spontaneity, through equilibrium constant (Kads.) values and free energy value (ΔGads.) of the adsorption process, shows a drastic decrease upon temperature increase. In the presence of magnetic field, lower rates of corrosion, larger activation energies, solvent entropy increase, larger equilibrium constant (Kads.) value, and lower free energy value (ΔGads.) have been investigated.

Exergy Analysis for the Performance Evaluation of Different Setups of the Secondary Air System of Aircraft Gas Turbines

2007 ◽  
Author(s):  
Philipp W. Zeller ◽  
Stephan Staudacher
Keyword(s):  
Performance Evaluation ◽  
Gas Turbines ◽  
Exergy Analysis ◽  
Entropy Increase ◽  
Engine Efficiency ◽  
Specific Entropy ◽  
Air System ◽  
Exergy Method ◽  
Secondary Air ◽  
Careful Design

Secondary Air System related losses in aircraft gas turbines cannot be directly assessed and quantified as possible for other sub-systems of the engine. If a particular setup is to be evaluated and compared to other, competing designs, it is required to have a distinct understanding of the loss mechanisms and the way these losses appear in the cycle. The relevant loss phenomena are therefore discussed in detail and are quantified with regard to the respective specific entropy increase. The exergy method is found to be the method of choice, since it holds some important advantages compared to other loss accounting methods like gas horsepower or thrust work potential. An exergy analysis is carried out for a high TET, two shaft engine of the medium thrust range. A comparison of setups with different compressor offtake positions is performed. It is found that the contribution of Air System related losses to overall engine efficiency deficits is significant, but may be reduced by careful design.

ENTROPY INCREASE AND K-SYSTEMS IN QUANTUM THEORY

1990 ◽  
Vol 04 (05) ◽  
pp. 1119-1126
Author(s):  
W. Thirring
Keyword(s):  
Quantum Theory ◽  
Relative Entropy ◽  
Entropy Increase ◽  
Maximal Extent

It is shown that the relative entropy converges to its equilibrium value when the states converge strongly. This can happen only for subalgebras for which the clustering is uniform. It happens for K-systems for which this uniformity in clustering has the maximal extent which is possible.

Sign in / Sign up

Export Citation Format

Share Document